**Table Of Contents**

Discussing some Important Questions in **network analysis and synthesis Unit 4 Laplace Transform.** I hope that these crucial questions will be useful to you in your next Btech AKTU exams.

**Q.Write properties of Laplace transform**

Ans.

**Q. Discuss briefly singularity functions.**

**Ans**

1. Singularity functions are particular forcing functions that are discontinuous or have derivatives that are discontinuous.

2. The commonly used singularity functions are:

- Step function
- Ramp function
- Impulse function

**Unit step (Step function): **Signals which start at time t = 0 and have

magnitudes of unity are called unit step signals.

They are represented by a unit step function u(t).

They are defined mathematically as:

**Unit ramp (Ramp function) :** Unit ramp signals are defined as signals that begin at zero and are linear in nature with a constant slope m.

They are represented by a unit ramp function r(t).

They are defined mathematically as:

**Unit impulse (Impulse function) :** Signals which act for very small time but have large amplitude are called unit impulse functions.

## Q. Discus**s step response of series RL network.**

**Ans**.

**Q. Discuss the step response of the series RLC network.**

Ans. 1. Fig. 4.23.1 shows a network consisting of resistance (R), capacitance (C) and inductance (L) are connected in series.

2. It is provided with a switch as shown in Fig. 4.23.1. Initially switch was kept open. Switch was closed at t =0.

## Q. **Discuss the procedure for evaluating the initial condition**

Ans.

**Q. Find the partial fraction expansion for**

**Answer**

Syllabus | Quantums | notes | Important Questions

## Network Analysis and Synthesis Important Links:

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Important Unit-4 | Unit-4 |

Important Unit-5 | Unit-5 |

Question paper – 2021-22 | 2021-22 |

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